GRE - Quantitative Comparisons - Test 5

Compare the two quantities and choose the best answer option.

1. Let a¤b be defined as a² - b + a

2¤3

3
A. The quantity on the left is greater
B. The quantity on the right is greater
C. Both are equal
D. The relationship cannot be determined without further information

2. The profit from a business is to be divied in the ratio 4 to 5 between X and Y respectively.

The money X receives when the profit is $153

$70
A. The quantity on the left is greater
B. The quantity on the right is greater
C. Both are equal
D. The relationship cannot be determined without further information

3.  

The sum of all the positive integer divisors of 15

8
A. The quantity on the left is greater
B. The quantity on the right is greater
C. Both are equal
D. The relationship cannot be determined without further information

4. The lengths of two sides of a triangle are 4 and 6

The length of the third side

10
A. The quantity on the left is greater
B. The quantity on the right is greater
C. Both are equal
D. The relationship cannot be determined without further information

5. A 10-foot plank of wood is cut to give three equal lengths with a shorter length left over.

The length of one of the equal pieces

3 feet
A. The quantity on the left is greater
B. The quantity on the right is greater
C. Both are equal
D. The relationship cannot be determined without further information

6. 28 percent of the students in Class A study German, 14 percent in Class B study German

The percentage of Class A and B combined that study German

20 percent
A. The quantity on the left is greater
B. The quantity on the right is greater
C. Both are equal
D. The relationship cannot be determined without further information

7. r is the radius of circle C.
s is the circumference of circle C.

6r

s
A. The quantity on the left is greater
B. The quantity on the right is greater
C. Both are equal
D. The relationship cannot be determined without further information

8. xy ≠ 0

x²y²

( - xy)²
A. The quantity on the left is greater
B. The quantity on the right is greater
C. Both are equal
D. The relationship cannot be determined without further information

9. Figure not to scale.
Angles QPS and QRS are right angles
QR = 3 , RS = 4, and PS = 2

Side PQ

5
A. The quantity on the left is greater
B. The quantity on the right is greater
C. Both are equal
D. The relationship cannot be determined without further information

10. ♣x = x² - 1

(♣3)(♣4)

♣11
A. The quantity on the left is greater
B. The quantity on the right is greater
C. Both are equal
D. The relationship cannot be determined without further information